Finding the Fourth Proportional to 468,407,011,182.67, 646,163,780,020.83 and 305,921,768,475.95
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Solution
The fourth proportional to 468,407,011,182.67, 646,163,780,020.83 and 305,921,768,475.95 is: 422,016,668,388.40
Step by Step Solution
- Step 1: Write the proportion equation
468,407,011,182.67 : 646,163,780,020.83 = 305,921,768,475.95 : x - Step 2: Convert to fraction form
468,407,011,182.67/646,163,780,020.83 = 305,921,768,475.95/x - Step 3: Cross multiply
468,407,011,182.67x = 646,163,780,020.83 × 305,921,768,475.95 - Step 4: Simplify right side
468,407,011,182.67x = 197,675,566,309,077,042,593,792 - Step 5: Solve for x
x = 197,675,566,309,077,042,593,792/468,407,011,182.67 - Step 6: Final answer
x = 422,016,668,388.40
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.